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Question
Construct a ∆ ABC such that AB = 6 cm, BC = 4.5 cm and AC = 5.5 cm. Construct a circumcircle of this triangle.
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Solution
Steps of Construction :
(i) Draw a line segment BC = 4.5 cm
(ii) With centre B and radius 6 cm, draw are arc
(iii) With centre C and radius 5.5 cm, draw another arc intersecting the first arc at A.
(iv) Join AB and AC.
Δ ABC is the required triangle.
(v) Draw the perpendicular bisectors of AB and AC. Which intersects each other at O.
(vi) Join OB, OC and OA.
(vii) With centre O and radius OA, draw a circle which passes through A, B and C.
This is the required circumcircle of Δ ABC.
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